Front

What is the formula to calculate the slope (m) between two points (x1, y1) and (x2, y2)?

Back

The formula for slope is m = (y2 - y1) / (x2 - x1).

Front

What does it mean if the slope of a line is undefined?

Back

An undefined slope indicates a vertical line, where the x-coordinates of the two points are the same.

Front

How do you determine the slope of a line given two points?

Back

To determine the slope, use the formula m = (y2 - y1) / (x2 - x1) with the coordinates of the two points.

Front

What is the slope of a line that rises from left to right?

Back

The slope is positive.

Front

What is the slope of a line that falls from left to right?

Back

The slope is negative.

Front

If two points have the same y-coordinate, what can be said about the slope of the line connecting them?

Back

The slope is 0, indicating a horizontal line.

Front

Calculate the slope of the line that passes through the points (2, 3) and (4, 7).

Back

The slope is m = (7 - 3) / (4 - 2) = 4 / 2 = 2.

Front

What is the slope of the line that passes through the points (1, 2) and (1, 5)?

Back

The slope is undefined because the x-coordinates are the same.

Front

If the slope of a line is -3/2, what does this indicate about the line's steepness and direction?

Back

The line descends from left to right and has a steepness of 3/2.

Front

What is the significance of the slope in real-world applications?

Back

The slope represents the rate of change, such as speed, cost per item, or growth rate.